815022544032 has 288 divisors, whose sum is σ = 2491901508096. Its totient is φ = 252091699200.

The previous prime is 815022543991. The next prime is 815022544051. The reversal of 815022544032 is 230445220518.

815022544032 is a `hidden beast` number, since 81 + 5 + 0 + 2 + 2 + 544 + 0 + 32 = 666.

It is a tau number, because it is divible by the number of its divisors (288).

It is a super-3 number, since 3×815022544032³ (a number of 37 digits) contains 333 as substring.

It is a Harshad number since it is a multiple of its sum of digits (36).

It is an unprimeable number.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 29482857 + ... + 29510487.

It is an arithmetic number, because the mean of its divisors is an integer number (8652435792).

Almost surely, 2^815022544032 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 815022544032, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1245950754048).

815022544032 is an abundant number, since it is smaller than the sum of its proper divisors (1676878964064).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

815022544032 is a wasteful number, since it uses less digits than its factorization.

815022544032 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 27804 (or 27793 counting only the distinct ones).

The product of its (nonzero) digits is 76800, while the sum is 36.

The spelling of 815022544032 in words is "eight hundred fifteen billion, twenty-two million, five hundred forty-four thousand, thirty-two".